I wouldn't advise doing it. The M-1 Carbine, without a LOT of work (some of which will diminish any collector value it may have) is not a target-grade rifle that will greatly benefit from a trigger job. You can carefully hone/polish the engagement surfaces in the trigger mechanism, and lube properly; if you want more, send it out to someone with experience, and who won't ruin it or cause it to be unsafe. Perhaps others know of gunsmiths that can do this. Good luck!

"The M1 Rifle is the greatest battle implement ever devised." General George S. Patton Jr.,US Army

Ditto on raf's comments. Lightly stoning the engagment surfaces on the sear & hammer may help a bit, but unless you've got access to a bunch of spare parts, and can do some swapping and trying, I'd leave it as is.

Why not get a spare trigger assembly from Fulton-Ammory or J&T surplus and let Fulton work on it for you? I think his trigger jobs are like $40 on them. You'd have the original stock collectors assembly and another for one for plinking with.
I got a M-14 trigger assembly from the CMP for $40 and my plans are to have Fulton tweak it for my M1A.